UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions

Campostrini, M; Cucchieri, A; Mendes, T; Pelissetto, A; Rossi, P; Sokal, AD; Vicari, E; (1996) Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions. In: NUCLEAR PHYSICS B. (pp. 759 - 762). ELSEVIER SCIENCE BV

Full text not available from this repository.

Abstract

In this talk we present the exact solution of the most general one-dimensional O(N)-invariant spin model taking values in the sphere S-N-1, with nearest-neighbour interactions, and we discuss the possible continuum limits. All these results are obtained using a high-temperature expansion in terms of hyperspherical harmonics. Applications in higher dimensions of the same technique are then discussed.

Type:Proceedings paper
Title:Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions
Event:Annual International Symposium on Lattice Field Theory
Location:MELBOURNE, AUSTRALIA
Dates:1995-07-11 - 1995-07-15
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

Archive Staff Only: edit this record